Question

what is the arc length of one slice of pie?

Answer 1

We will have the following:

First, we know that the piece are a sixth of a circle, so the angle for each slice will be:

$2\pi\ast\frac{1}{6}=\frac{1}{3}\pi$

Now, we will calculate the arc length as follows:

$\begin{gathered} s=(5in)(\frac{1}{3}\pi)\Rightarrow s=\frac{5}{3}\pi in \\ \\ \Rightarrow s\approx5.24in \end{gathered}$

So, the arc length is approximately 5.24 inches.